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Finding the Third Proportional to 306,034,536 and 664,027,804.50

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Solution

The third proportional to 306,034,536 and 664,027,804.50 is: 1,440,794,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,536 : 664,027,804.50 = 664,027,804.50 : x
  2. Step 2: Convert to fraction form
    306,034,536/664,027,804.50 = 664,027,804.50/x
  3. Step 3: Cross multiply
    306,034,536x = 664,027,804.50 × 664,027,804.50
  4. Step 4: Simplify right side
    306,034,536x = 440,932,925,149,090,240
  5. Step 5: Solve for x
    x = 440,932,925,149,090,240/306,034,536
  6. Step 6: Final answer
    x = 1,440,794,659.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.